Divisibility Rule of 267
2026-02-28 23:21 Diff
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Last updated on August 5, 2025

The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 267.

What is the Divisibility Rule of 267?

The divisibility rule for 267 is a method by which we can find out if a number is divisible by 267 or not without using the division method. Check whether 21336 is divisible by 267 with the divisibility rule.  


Step 1: Multiply the last digit of the number by 2, here in 21336, 6 is the last digit, multiply it by 2. 6 × 2 = 12 


Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 2133–12 = 2121.


Step 3: As it is shown that 2121 is a multiple of 267, therefore, the number is divisible by 267. If the result from step 2 isn't a multiple of 267, then the number isn't divisible by 267.

Tips and Tricks for Divisibility Rule of 267

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 267.

Know the multiples of 267:  


Memorize the multiples of 267 (267, 534, 801, 1068, ... etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 267, then the number is divisible by 267.

Use the negative numbers:  


If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.

Repeat the process for large numbers:  


Students should keep repeating the divisibility process until they reach a small number that is divisible by 267.
For example, check if 32004 is divisible by 267 using the divisibility test.  
Multiply the last digit by 2, i.e., 4 × 2 = 8.  
Subtract the remaining digits excluding the last digit by 8, 3200–8 = 3192.  
Still, 3192 is a large number, so we will repeat the process again and multiply the last digit by 2, 2 × 2 = 4.  
Now subtracting 4 from the remaining numbers excluding the last digit, 319–4 = 315.  
As 315 is a multiple of 267, 32004 is divisible by 267.

Use the division method to verify:  


Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.

Common Mistakes and How to Avoid Them in Divisibility Rule of 267

The divisibility rule of 267 helps us to quickly check if the given number is divisible by 267, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.

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Problem 1

Is 801 divisible by 267?

Okay, lets begin

Yes, 801 is divisible by 267.
 

Explanation

To check if 801 is divisible by 267, we perform the division:


1) Divide 801 by 267, which gives 3.


2) The result is an integer with no remainder (801 ÷ 267 = 3), so 801 is divisible by 267.
 

Well explained 👍

Problem 2

Check the divisibility rule of 267 for 2136.

Okay, lets begin

Yes, 2136 is divisible by 267.
 

Explanation

For checking the divisibility rule of 267 for 2136,


1) Divide 2136 by 267, which gives 8.


2) The result is an integer with no remainder (2136 ÷ 267 = 8), so 2136 is divisible by 267.

Well explained 👍

Problem 3

Is -534 divisible by 267?

Okay, lets begin

Yes, -534 is divisible by 267.
 

Explanation

To check if -534 is divisible by 267, consider the absolute value:


1) Divide 534 by 267, which gives 2.


2) The result is an integer with no remainder (534 ÷ 267 = 2), so -534 is divisible by 267.

Well explained 👍

Problem 4

Can 400 be divisible by 267 following the divisibility rule?

Okay, lets begin

No, 400 isn't divisible by 267.
 

Explanation

To check if 400 is divisible by 267,


1) Divide 400 by 267, which gives approximately 1.498.


2) The result is not an integer, indicating a remainder, so 400 is not divisible by 267.
 

Well explained 👍

Problem 5

Check the divisibility rule of 267 for 1335.

Okay, lets begin

Yes, 1335 is divisible by 267.
 

Explanation

To check the divisibility rule of 267 for 1335,


1) Divide 1335 by 267, which gives 5.


2) The result is an integer with no remainder (1335 ÷ 267 = 5), so 1335 is divisible by 267.
 

Well explained 👍

FAQs on Divisibility Rule of 267

1.What is the divisibility rule for 267?

The divisibility rule for 267 is multiplying the last digit by 2, then subtracting the result from the remaining digits excluding the last digit, and then checking if the result is a multiple of 267.
 

2.How many numbers are there between 1 and 1000 that are divisible by 267?

There are 3 numbers that can be divided by 267 between 1 and 1000. The numbers are - 267, 534, 801.
 

3.Is 534 divisible by 267?

Yes, because 534 is a multiple of 267 (267 × 2 = 534).
 

4.What if I get 0 after subtracting?

If you get 0 after subtracting, it is considered that the number is divisible by 267.
 

5.Does the divisibility rule of 267 apply to all integers?

Yes, the divisibility rule of 267 applies to all integers.
 

Important Glossaries for Divisibility Rule of 267

  • Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 267 if certain conditions based on the rule are met.
  • Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 267 are 267, 534, 801, 1068, etc.
  • Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
  • Subtraction: Subtraction is a process of finding out the difference between two numbers, by reducing one number from another.
  • Division: Division is the process of determining how many times one number is contained within another.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.